Multiplying Complex Numbers and Simplifying

This video tutorial teaches how to divide complex numbers by rationalizing the denominator using conjugates. The instructor solves three example problems, demonstrating the process of multiplying by the conjugate and simplifying the resulting expressions. The video concludes with a call to practice additional problems and encourages viewers to share and subscribe.

What is the first step in dividing complex numbers?

• Rationalize the denominator using its conjugate

• Add the numerators and denominators

• Subtract the numerators

• Multiply the numerator by the denominator

What should you do after finding the conjugate of the denominator?

• Subtract it from the numerator

• Multiply both numerator and denominator by it

• Add it to the numerator

• Divide the numerator by it

What is the conjugate of the complex number 3 - 4i?

• 3 + 4i

• 3 - 4i

• -3 - 4i

• -3 + 4i

In the expression (2 + 3i)(3 + 4i), what is the result of 2 times 4i?

• 8

• 8i

• 8i^2

• 8i^3

What is the result of squaring 4i?

• -16i

• 16i

• -16

• 16

How is a complex number typically written?

• ai + b

• a / bi

• a - bi

• a + bi

What is the simplified form of (2 + 3i) / (3 - 4i)?

• -6/25 + 17/25i

• -17/25 + 6/25i

• 6/25 - 17/25i

• 17/25 - 6/25i

What is the result of multiplying 3i by 4i?

• -12i

• -12

• 12i

• 12

What is the result of 3 squared minus 4i squared?

• -9

• -25

• 9

• 25

What is the result of multiplying 2 by 4i?

• 8i

• -8i

• -8

• 8